You have a hybrid problem, one that requires a knowledge of algebra and rudimentary geometry. First, you have to know what the complement of an angle is. If the sum of the measures of two angles equals 90 degrees, they are complements. For example, if two angles have measures of 30 degrees and 60 degrees, they are complementary angles. Put another way, you could say that 60 degrees is the complement of 30 degrees, because 90 - 60 = 30. The second thing is far more difficult: you need to figure out a way to set up an algebraic equation from the words given in the question. Not easy. But let's give it a go. We need to be systematic about it. Let x = "the angle" you are looking for. Let 90 - x = the angle's complement. Let 2x = "twice the angle." And let 2x + 30 = "30 more than twice the angle." Can you see how this is developing? I think we have all the mathematical building blocks -- the words of the equation -- to match the English words. Since the complement is 30 more than twice the angle, the equation is 90 - x = 2x + 30 Now, you must use your algebra skills to solve for x. First, add x to both sides of the equation 90 = 3x + 30 Next, subtract 30 from both sides 60 = 3x Now, divide both sides by three 20 = x So, x = 20. Check the answer. Does it make sense? Let's see. If the angle is 20, its complement is 70. Twice the angle is 40. Is 70 thirty more than 40? Yep. Algebra works!
The complement of an acute angle A is the angle 90° - A. The complement of 13° is 77°.
90 degrees
52 degrees
The measure of an angle whose sides overlap is 0 degrees. It is than not an angle, but rather a line.
An angle whose measure greater than 90 but less than 180 is an obtuse angle.
The complement of an acute angle A is the angle 90° - A. The complement of 13° is 77°.
43 degrees
90 degrees
52 degrees
65 degrees
Complementary angles sum to give 90 degrees. Therefore the complement to an 85 degree angle is a 5 degree angle.
The complement is (90 - the angle) or: how much you have to add to the angle to make 90 degrees.(90 - 72.354) = 17.646 degrees.
It is 51 degrees.
55 - 20 = 35
28 degrees. Complementary angles add up to 90 degrees
obtuse angle * * * * * The complement of an angle greater than 90 degrees is not an obtuse angle! It would be a negative angle, whose measure would be 90 minus the angle whose complement you require. This would only make sense if the direction in which the angles were measured were fixed. For example bearings, which are always measured in the clockwise direction.
90-73 = 17 degrees